Theorems · Theorem · ring theory
RingEquiv.symm_toRingHom_comp_toRingHom
∀ {R : Type u_4} {S : Type u_5} [inst : NonAssocSemiring R] [inst_1 : NonAssocSemiring S] (e : R ≃+* S),
e.symm.toRingHom.comp e.toRingHom = RingHom.id R- Defined in
- Mathlib.Algebra.Ring.Equiv
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement and proof · cited by 18,349
- RingHomstatement · cited by 10,189
- RingEquivstatement and proof · cited by 1,147
- RingHom.compstatement · cited by 899
- NonAssocSemiringstatement and proof · cited by 805
- RingEquiv.symmstatement · cited by 567
- RingEquiv.toRingHomstatement · cited by 150
- RingEquiv.symm_compproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- RingHomInvPair.of_ringEquivproof · cited by 15
- IsLocalization.isLocalization_iff_of_base_ringEquivproof · cited by 2
- WittVector.toPadicInt_comp_fromPadicIntproof · cited by 1